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121334435432 = 23721795213319
BaseRepresentation
bin111000100000000011…
…0001000111001101000
3102121012000010221202222
41301000012020321220
53441443103413212
6131423522013212
711523531453500
oct1610006107150
9377160127688
10121334435432
1147504142221
121b6227a7208
13b5987bb132
145c3066ca00
1532521e8c72
hex1c40188e68

121334435432 has 96 divisors (see below), whose sum is σ = 266714856000. Its totient is φ = 51595165440.

The previous prime is 121334435429. The next prime is 121334435437. The reversal of 121334435432 is 234534433121.

It is a junction number, because it is equal to n+sod(n) for n = 121334435392 and 121334435401.

It is not an unprimeable number, because it can be changed into a prime (121334435437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36555869 + ... + 36559187.

It is an arithmetic number, because the mean of its divisors is an integer number (2778279750).

Almost surely, 2121334435432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121334435432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133357428000).

121334435432 is an abundant number, since it is smaller than the sum of its proper divisors (145380420568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

121334435432 is a wasteful number, since it uses less digits than its factorization.

121334435432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4039 (or 4028 counting only the distinct ones).

The product of its digits is 103680, while the sum is 35.

Adding to 121334435432 its reverse (234534433121), we get a palindrome (355868868553).

The spelling of 121334435432 in words is "one hundred twenty-one billion, three hundred thirty-four million, four hundred thirty-five thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 179 196 358 392 521 716 1042 1253 1432 2084 2506 3319 3647 4168 5012 6638 7294 8771 10024 13276 14588 17542 23233 25529 26552 29176 35084 46466 51058 70168 92932 93259 102116 162631 185864 186518 204232 325262 373036 594101 650524 652813 746072 1188202 1301048 1305626 1729199 2376404 2611252 3458398 4158707 4569691 4752808 5222504 6916796 8317414 9139382 12104393 13833592 16634828 18278764 24208786 29110949 33269656 36557528 48417572 58221898 84730751 96835144 116443796 169461502 232887592 309526621 338923004 619053242 677846008 1238106484 2166686347 2476212968 4333372694 8666745388 15166804429 17333490776 30333608858 60667217716 121334435432